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Time Taken for Drive Speed Formula

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Time Taken for Drive Speed is defined as the time which drive takes to change its velocity from ωm1 to ωm2. Check FAQs

t = J \cdot \int (\frac{1}{τ - τ L}, x, ω m1, ω m2)

t - Time Taken for Drive Speed?J - Moment of Inertia?τ - Torque?τ_L - Load Torque?ω_m1 - Initial Angular Velocity?ω_m2 - Final Angular Velocity?

Time Taken for Drive Speed Example

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Here is how the Time Taken for Drive Speed equation looks like with Values.

Here is how the Time Taken for Drive Speed equation looks like with Units.

Here is how the Time Taken for Drive Speed equation looks like.

4.5092 = 10 \cdot \int (\frac{1}{5.4 - 0.235}, x, 2.346, 4.675)

4.5092s = 10kg·m² \cdot \int (\frac{1}{5.4N*m - 0.235N*m}, x, 2.346rad/s, 4.675rad/s)

4.5092 = 10 \cdot \int (\frac{1}{5.4 - 0.235}, x, 2.346, 4.675)

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Time Taken for Drive Speed Solution

Follow our step by step solution on how to calculate Time Taken for Drive Speed?

FIRST Step Consider the formula

t = J \cdot \int (\frac{1}{τ - τ L}, x, ω m1, ω m2)

Next Step Substitute values of Variables

∴

t = 10kg·m² \cdot \int (\frac{1}{5.4N*m - 0.235N*m}, x, 2.346rad/s, 4.675rad/s)

Next Step Prepare to Evaluate

∴

t = 10 \cdot \int (\frac{1}{5.4 - 0.235}, x, 2.346, 4.675)

Next Step Evaluate

∴

t = 4.50919651500484s

LAST Step Rounding Answer

∴

t = 4.5092s

Time Taken for Drive Speed Formula Elements

Variables

Functions

Time Taken for Drive Speed

Time Taken for Drive Speed is defined as the time which drive takes to change its velocity from ωm1 to ωm2.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Taken for Drive Speed

Moment of Inertia

Moment of Inertia is a measure of an object's resistance to changes in its rotational motion. It depends on the mass distribution of the object and its shape relative to the axis of rotation.

Symbol: J

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia

Torque

Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

Load Torque

Load Torque is defined as the torque experienced by the load connected to the motor shaft. It can come from various sources, such as friction, gravitational forces, or external mechanical loads.

Symbol: τ_L

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Load Torque

Initial Angular Velocity

Initial Angular Velocity is defined as the rotational speed of the motor shaft at a specific starting point or initial condition.

Symbol: ω_m1

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Initial Angular Velocity

Final Angular Velocity

Final Angular Velocity is defined as the rotational speed of the motor shaft at the final or resulting point.

Symbol: ω_m2

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Final Angular Velocity

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Electric Traction Drives category

Go Torque of Squirrel Cage Induction Motor

τ = \frac{K \cdot E^{2} \cdot R r}{{(R s + R r)}^{2} + {(X s + X r)}^{2}}

Go DC Output Voltage of Rectifier in Scherbius Drive Given Maximum Rotor Voltage

E DC = 3 \cdot (\frac{E peak}{π})

Go DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage

E DC = (3 \cdot \sqrt{2}) \cdot (\frac{E r}{π})

Go DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage at Slip

E DC = 1.35 \cdot E rms

How to Evaluate Time Taken for Drive Speed?

Time Taken for Drive Speed evaluator uses Time Taken for Drive Speed = Moment of Inertia*int(1/(Torque-Load Torque),x,Initial Angular Velocity,Final Angular Velocity) to evaluate the Time Taken for Drive Speed, The Time Taken for Drive Speed is defined as the time which drive takes to change its velocity from ωm1 to ωm2. It represents the duration it takes for the system to transition from one state to another in response to a change in torque. Time Taken for Drive Speed is denoted by t symbol.

How to evaluate Time Taken for Drive Speed using this online evaluator? To use this online evaluator for Time Taken for Drive Speed, enter Moment of Inertia (J), Torque (τ), Load Torque (τ_L), Initial Angular Velocity (ω_m1) & Final Angular Velocity (ω_m2) and hit the calculate button.

FAQs on Time Taken for Drive Speed

What is the formula to find Time Taken for Drive Speed?

The formula of Time Taken for Drive Speed is expressed as Time Taken for Drive Speed = Moment of Inertia*int(1/(Torque-Load Torque),x,Initial Angular Velocity,Final Angular Velocity). Here is an example- 4.509197 = 10*int(1/(5.4-0.235),x,2.346,4.675).

How to calculate Time Taken for Drive Speed?

With Moment of Inertia (J), Torque (τ), Load Torque (τ_L), Initial Angular Velocity (ω_m1) & Final Angular Velocity (ω_m2) we can find Time Taken for Drive Speed using the formula - Time Taken for Drive Speed = Moment of Inertia*int(1/(Torque-Load Torque),x,Initial Angular Velocity,Final Angular Velocity). This formula also uses Definite Integral (int) function(s).

Can the Time Taken for Drive Speed be negative?

No, the Time Taken for Drive Speed, measured in Time cannot be negative.

Which unit is used to measure Time Taken for Drive Speed?

Time Taken for Drive Speed is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Taken for Drive Speed can be measured.

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Time Taken for Drive Speed Formula

Time Taken for Drive Speed Example

Time Taken for Drive Speed Solution

Time Taken for Drive Speed Formula Elements

Other formulas in Electric Traction Drives category

How to Evaluate Time Taken for Drive Speed?

FAQs on Time Taken for Drive Speed

Variable Name